# Trinomial Solver

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Trinomial is an algebraic expression containing three terms and the three terms can either be constants, variables or terms consisting both constants and variables together. These terms are separated by the addition operation or the subtraction operation and they can be simplified based on the common factors in the given expression. There are many ways of solving trinomials and it basically involves simplifying the given trinomial if possible, and then solving it in order to get the value of the unknown variable given in the trinomial.

Example 1: Solve the given trinomial, 2x+ 4x– 18 = 0 to find the value of ‘x’.

The given expression: 2x+ 4x-18 = 0

The above given algebraic expression is a trinomial since it contains three terms.

In order to solve for the unknown variable ‘x’, here we can first simplify the expression.

This means that we can combine the like terms together.

Hence we get, 2x+ 4x–18 = 0->6x- 18= 0.

Now we can solve for ‘x’-> 6x = 18-> x= 18/6 = 3.

Therefore the value of ‘x’ is 3.

Example 2: Solve the given trinomial, 6p – 9p – 24 = 0 to find the value of ‘p’.

The given expression: 6p – 9p – 24= 0

The above given algebraic expression is a trinomial since it contains three terms.

In order to solve for the unknown variable ‘p’, here we can first simplify the expression.

This means that we can combine the like terms together.

Hence we get, 6p – 9p – 24= 0

Now we can solve for ‘p’==> -3p = 24==> p= 24/-3 = -8.

Therefore the value of ‘p’ is -8.